Cremona's table of elliptic curves

72720 = 2⁴ · 3² · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 101+	Signs for the Atkin-Lehner involutions
Class	72720bg	Isogeny class
Conductor	72720	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1130941440000 = 213 · 37 · 54 · 101	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-465483,-122237318]	[a1,a2,a3,a4,a6]
Generators	[831:8050:1]	Generators of the group modulo torsion
j	3735491132438281/378750	j-invariant
L	3.5152082666136	L(r)(E,1)/r!
Ω	0.18277786544797	Real period
R	4.8080333153207	Regulator
r	1	Rank of the group of rational points
S	1.0000000003145	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9090p3 24240bm4	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 72720bg4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	0	-4	-6	-6	-4	0	-6	0	2	10	-4	0	14	12	-6	12	8	-10	-8	4	-6	-14

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Quadratic twists for elliptic curve 72720bg4

-4	-3
9090p3	24240bm4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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